λ
Prime Ledger

4,446,572

22 × 13 × 233 × 367
Deficient Even Composite

4,446,572 has the prime decomposition 2^2 × 13 × 233 × 367. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 233 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,438,976
Proper Divisor Sum 3,992,404
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4446553 ← → #4446581

Radix Representation

Decimal 4446572
Binary 10000111101100101101100 (23 bits)
Octal 0o20754554
Hexadecimal 0x43D96C

Divisor Catalog (24)

1 2 4 13 26 52 233 367 466 734 932 1,468 3,029 4,771 6,058 9,542 12,116 19,084 85,511 171,022 342,044 1,111,643 2,223,286 4,446,572

Collatz Trajectory (180 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,446,572 2,223,286 1,111,643 3,334,930 1,667,465 5,002,396 2,501,198 1,250,599 3,751,798 1,875,899 5,627,698 2,813,849 8,441,548 4,220,774 2,110,387 6,331,162 3,165,581 9,496,744 4,748,372 2,374,186 1,187,093 3,561,280 1,780,640 890,320 445,160 222,580 111,290 55,645 166,936 83,468 41,734 20,867 62,602 31,301 93,904 46,952 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785

More profiles

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